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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 15 (2025), Article ID 47

Nonlinear contraction in a (θ,ρ)-metric space

Karim Chaira, Mustapha Kabil, Samih Lazaiz, Yassine Nebrass

PDF (157.5 KB) https://doi.org/10.28919/afpt/9320

Abstract

Motivated by the concepts of extended b-metric and suprametric space, we define the concepts of extended θ-metric and extended (θ,ρ)-metric spaces. We also show some fixed point theorems for self-mappings defined on such spaces. Our results extend the results in [1] and [2]. Further some examples are given.

Published
21 October 2025
Volume
15 (2025)
License
CC BY 3.0

Copyright © 2025 Karim Chaira, Mustapha Kabil, Samih Lazaiz, Yassine Nebrass. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

K. Chaira, M. Kabil, S. Lazaiz, Y. Nebrass, Nonlinear contraction in a (θ,ρ)-metric space, Adv. Fixed Point Theory 15 (2025), 47. https://doi.org/10.28919/afpt/9320

BibTeX
@article{Chaira2025,
  author  = {Chaira, Karim and Kabil, Mustapha and Lazaiz, Samih and Nebrass, Yassine},
  title   = {Nonlinear contraction in a (θ,ρ)-metric space},
  journal = {Adv. Fixed Point Theory},
  volume  = {15},
  year    = {2025},
  pages   = {47},
  doi     = {10.28919/afpt/9320}
}